It takes 1.58 seconds.
The equation to represent this is of the form h(t) = -16t²+v₀t+h₀, where -16 is the gravitational constant, v₀ is the initial velocity, and h₀ is the initial height. We do not have an initial velocity, since the balloon is dropped. The initial height is 40. This gives us the function
h(t) = -16t² + 40.
We will set this equal to 0:
0 = -16t² + 40
Subtract 40 from both sides:
0-40 = -16t² + 40 - 40
-40 = -16t²
Divide both sides by -16:
-40/-16 = -16t²/-16
2.5 = t²
Take the square root of both sides:
√2.5 = √t²
1.58 = t
Answer:
c
Step-by-step explanation:
because the numbers on the right sise are all odd numbers
You order the values from least to greatest, than you find a common factor for all of them ( it could be one if they're not too far apart). Then, you find the median, then Q¹ then Q³. Than you subtract Q¹ from Q ³.
244 divided by 60 = 4.0666
Answer:
The height of the cone h = 27(x^4)y
Step-by-step explanation:
Firstly, we calculate the volume of the cylinder.
Mathematically, the volume of the cylinder is pi * r^2 * h
using the radius x and height y
The volume V of the cylinder is ;
V = pi * x^2 * y
Now we know they have the same volume V, the formula for the volume of a cone is ;
1/3 * pi * r^2 * h
Substituting the values of r to be 1/3x and the height which is not given here left as h, we have the volume of the cone to be;
V = 1/3 * pi * (1/3x)^2 * h = pi * x^2 * y
The pi gives way as it cancels out on both sides and we have the following;
h/27x^2 = x^2y
Mathematically h = x^2 * y * 27x^2
h = 27(x^4)y
p.s: I personally feel the radius of the cone was to be given as x/3 and not 1/3x . It is in that way we can have the height of the cone purely in y terms and no x
